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Least common denominator:
(x*(x-1)^2)^(1/3)*((x-1)^2/3+x*(-2+2*x)/3)/(x*(x-1)^2)
((x^3+y^3)/(x+y))/(x^2-y^2)+(2*y)/(x+y)-(x*y)/(x^2-y^2)
(x-1)*(1/(2*(x-1))-(x+1)/(2*(x-1)^2))/(x+1)
(z^5-5*z^3+10*z-1/10*z+1/5*z^3-1/z^5)*(z^3-3*z+1/3*z-1/z^3)
Factor polynomial:
x^6-x^8
a*m^2+b*m^2-c*n-b*n+c*m^2-a*n
y^5-32
y^n+3-y-1+y^n+1
Factor squared:
y^4+y^2+9
-y^4-y^2+8
x^2-x*a+4*a^2
3*x^2+5*x-3
How do you in partial fractions?:
(5*a^2+3*a-2)/(a^2-1)
y/(b*y-2*b^2)-2/(y^2+y-2*b*y-2*b)*(1+(3*y+y^2)/(3+y))
(((2s-2+2*s^2)/(-s*(2+s^2+2*s)))+((-2s^2+2s-6))/((s*(s^2+2*s+2))))*1/s-2/s
((x^3+y^3)/(x+y))/(x^2-y^2)+(2*y)/(x+y)-(x*y)/(x^2-y^2)
How do you in partial fractions?:
((x^3+y^3)/(x+y))/(x^2-y^2)+(2*y)/(x+y)-(x*y)/(x^2-y^2)
Identical expressions
((x^ three +y^ three)/(x+y))/(x^ two -y^ two)+(two *y)/(x+y)-(x*y)/(x^ two -y^ two)
((x cubed plus y cubed ) divide by (x plus y)) divide by (x squared minus y squared ) plus (2 multiply by y) divide by (x plus y) minus (x multiply by y) divide by (x squared minus y squared )
((x to the power of three plus y to the power of three) divide by (x plus y)) divide by (x to the power of two minus y to the power of two) plus (two multiply by y) divide by (x plus y) minus (x multiply by y) divide by (x to the power of two minus y to the power of two)
((x3+y3)/(x+y))/(x2-y2)+(2*y)/(x+y)-(x*y)/(x2-y2)
x3+y3/x+y/x2-y2+2*y/x+y-x*y/x2-y2
((x³+y³)/(x+y))/(x²-y²)+(2*y)/(x+y)-(x*y)/(x²-y²)
((x to the power of 3+y to the power of 3)/(x+y))/(x to the power of 2-y to the power of 2)+(2*y)/(x+y)-(x*y)/(x to the power of 2-y to the power of 2)
((x^3+y^3)/(x+y))/(x^2-y^2)+(2y)/(x+y)-(xy)/(x^2-y^2)
((x3+y3)/(x+y))/(x2-y2)+(2y)/(x+y)-(xy)/(x2-y2)
x3+y3/x+y/x2-y2+2y/x+y-xy/x2-y2
x^3+y^3/x+y/x^2-y^2+2y/x+y-xy/x^2-y^2
((x^3+y^3) divide by (x+y)) divide by (x^2-y^2)+(2*y) divide by (x+y)-(x*y) divide by (x^2-y^2)
Similar expressions
((x^3+y^3)/(x+y))/(x^2+y^2)+(2*y)/(x+y)-(x*y)/(x^2-y^2)
((x^3+y^3)/(x+y))/(x^2-y^2)+(2*y)/(x-y)-(x*y)/(x^2-y^2)
((x^3-y^3)/(x+y))/(x^2-y^2)+(2*y)/(x+y)-(x*y)/(x^2-y^2)
((x^3+y^3)/(x+y))/(x^2-y^2)+(2*y)/(x+y)+(x*y)/(x^2-y^2)
((x^3+y^3)/(x+y))/(x^2-y^2)+(2*y)/(x+y)-(x*y)/(x^2+y^2)
((x^3+y^3)/(x-y))/(x^2-y^2)+(2*y)/(x+y)-(x*y)/(x^2-y^2)
((x^3+y^3)/(x+y))/(x^2-y^2)-(2*y)/(x+y)-(x*y)/(x^2-y^2)

Expression simplification/ Least common denominator/ ((x^3+y^3)/(x+y))/(x^2-y^2)+(2*y)/(x+y)-(x*y)/(x^2-y^2)

Least common denominator ((x^3+y^3)/(x+y))/(x^2-y^2)+(2y)/(x+y)-(xy)/(x^2-y^2)

The solution

You have entered [src]

/ 3    3\                  
|x  + y |                  
|-------|                  
\ x + y /    2*y      x*y  
--------- + ----- - -------
  2    2    x + y    2    2
 x  - y             x  - y

$$- \frac{x y}{x^{2} - y^{2}} + \left(\frac{2 y}{x + y} + \frac{\frac{1}{x + y} \left(x^{3} + y^{3}\right)}{x^{2} - y^{2}}\right)$$

((x^3 + y^3)/(x + y))/(x^2 - y^2) + (2*y)/(x + y) - x*y/(x^2 - y^2)

Fraction decomposition [src]

$$1$$

General simplification [src]

$$1$$

Combinatorics [src]

$$1$$

Combining rational expressions [src]

 3    3       / 2    2\              
x  + y  + 2*y*\x  - y / - x*y*(x + y)
-------------------------------------
                  / 2    2\          
          (x + y)*\x  - y /

$$\frac{x^{3} - x y \left(x + y\right) + y^{3} + 2 y \left(x^{2} - y^{2}\right)}{\left(x + y\right) \left(x^{2} - y^{2}\right)}$$

(x^3 + y^3 + 2*y*(x^2 - y^2) - x*y*(x + y))/((x + y)*(x^2 - y^2))

Assemble expression [src]

                            3    3     
  /  2        x   \        x  + y      
y*|----- - -------| + -----------------
  |x + y    2    2|           / 2    2\
  \        x  - y /   (x + y)*\x  - y /

$$y \left(- \frac{x}{x^{2} - y^{2}} + \frac{2}{x + y}\right) + \frac{x^{3} + y^{3}}{\left(x + y\right) \left(x^{2} - y^{2}\right)}$$

              3    3               
 2*y         x  + y           x*y  
----- + ----------------- - -------
x + y           / 2    2\    2    2
        (x + y)*\x  - y /   x  - y

$$- \frac{x y}{x^{2} - y^{2}} + \frac{2 y}{x + y} + \frac{x^{3} + y^{3}}{\left(x + y\right) \left(x^{2} - y^{2}\right)}$$

2*y/(x + y) + (x^3 + y^3)/((x + y)*(x^2 - y^2)) - x*y/(x^2 - y^2)

Powers [src]

              3    3               
 2*y         x  + y           x*y  
----- + ----------------- - -------
x + y           / 2    2\    2    2
        (x + y)*\x  - y /   x  - y

$$- \frac{x y}{x^{2} - y^{2}} + \frac{2 y}{x + y} + \frac{x^{3} + y^{3}}{\left(x + y\right) \left(x^{2} - y^{2}\right)}$$

2*y/(x + y) + (x^3 + y^3)/((x + y)*(x^2 - y^2)) - x*y/(x^2 - y^2)

Rational denominator [src]

/ 2    2\ /        / 3    3\               / 2    2\\              2 / 2    2\
\x  - y /*\(x + y)*\x  + y / + 2*y*(x + y)*\x  - y // - x*y*(x + y) *\x  - y /
------------------------------------------------------------------------------
                                               2                              
                                    2 / 2    2\                               
                             (x + y) *\x  - y /

$$\frac{- x y \left(x + y\right)^{2} \left(x^{2} - y^{2}\right) + \left(x^{2} - y^{2}\right) \left(2 y \left(x + y\right) \left(x^{2} - y^{2}\right) + \left(x + y\right) \left(x^{3} + y^{3}\right)\right)}{\left(x + y\right)^{2} \left(x^{2} - y^{2}\right)^{2}}$$

((x^2 - y^2)*((x + y)*(x^3 + y^3) + 2*y*(x + y)*(x^2 - y^2)) - x*y*(x + y)^2*(x^2 - y^2))/((x + y)^2*(x^2 - y^2)^2)

Numerical answer [src]

2.0*y/(x + y) + (x^3 + y^3)/((x + y)*(x^2 - y^2)) - x*y/(x^2 - y^2)

2.0*y/(x + y) + (x^3 + y^3)/((x + y)*(x^2 - y^2)) - x*y/(x^2 - y^2)

Trigonometric part [src]

              3    3               
 2*y         x  + y           x*y  
----- + ----------------- - -------
x + y           / 2    2\    2    2
        (x + y)*\x  - y /   x  - y

$$- \frac{x y}{x^{2} - y^{2}} + \frac{2 y}{x + y} + \frac{x^{3} + y^{3}}{\left(x + y\right) \left(x^{2} - y^{2}\right)}$$

2*y/(x + y) + (x^3 + y^3)/((x + y)*(x^2 - y^2)) - x*y/(x^2 - y^2)

Common denominator [src]

$$1$$

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How to use it?

Identical expressions

Similar expressions

Least common denominator ((x^3+y^3)/(x+y))/(x^2-y^2)+(2*y)/(x+y)-(x*y)/(x^2-y^2)

The solution

Least common denominator ((x^3+y^3)/(x+y))/(x^2-y^2)+(2y)/(x+y)-(xy)/(x^2-y^2)